The polynomial

Mathematics

1 answer:

pishuonlain [190]2 years ago

3 0

Answer:

Answer:

Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x

Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)

Step-by-step explanation:

Question 1

Budget surplus in 2010 =

Budget surplus in 2011 =

Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010

Question 2

2011 yearly tax revenue, x = $450,000

Budget surplus in 2011 =

Budget surplus in 2011 ≅ $

Step-by-step explanation:

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2 years ago

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Juli2301 [7.4K]

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2 years ago

Hey how do you get from standard form to vertex form?

vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be $\mathbf{ax^{2}+bx+c=0}$ where x is the variable.

Completing the square method is as follows:

send the constant term to other side of equal $\mathbf{ax^{2}+bx=-c}$
divide the whole equation be coefficient of $\mathbf{x^{2}}$ , this will give $\mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}$
add $\mathbf{(\frac{b}{2a})^{2}}$ to both side of equality $\mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}$
Make one fraction on the right side and compress the expression on the left side $\mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}$
rearrange the terms will give the vertex form of standard quadratic equation $\mathbf{a(x+\frac{b}{2a})^{2}-\frac{b^{2}-4ac}{4a}=0}$